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20033122092001 is a prime number
BaseRepresentation
bin1001000111000010100110…
…01000000100001111100001
32121221010222201112010002221
410203201103020010033201
510111210313223421001
6110335031135311041
74135226304116524
oct443412310041741
977833881463087
1020033122092001
116423aaa181a97
1222b667807b481
13b2416643a545
144d38731b0bbb
1524b192b1e1a1
hex1238532043e1

20033122092001 has 2 divisors, whose sum is σ = 20033122092002. Its totient is φ = 20033122092000.

The previous prime is 20033122091977. The next prime is 20033122092037. The reversal of 20033122092001 is 10029022133002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11629361734225 + 8403760357776 = 3410185^2 + 2898924^2 .

It is a cyclic number.

It is not a de Polignac number, because 20033122092001 - 225 = 20033088537569 is a prime.

It is not a weakly prime, because it can be changed into another prime (20033128092001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10016561046000 + 10016561046001.

It is an arithmetic number, because the mean of its divisors is an integer number (10016561046001).

Almost surely, 220033122092001 is an apocalyptic number.

It is an amenable number.

20033122092001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20033122092001 is an equidigital number, since it uses as much as digits as its factorization.

20033122092001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 20033122092001 in words is "twenty trillion, thirty-three billion, one hundred twenty-two million, ninety-two thousand, one".